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Finding the Fourth Proportional to 208,030.80, 312,046.20 and 155,542.80

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Solution

The fourth proportional to 208,030.80, 312,046.20 and 155,542.80 is: 233,314.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,030.80 : 312,046.20 = 155,542.80 : x
  2. Step 2: Convert to fraction form
    208,030.80/312,046.20 = 155,542.80/x
  3. Step 3: Cross multiply
    208,030.80x = 312,046.20 × 155,542.80
  4. Step 4: Simplify right side
    208,030.80x = 48,536,539,677.36
  5. Step 5: Solve for x
    x = 48,536,539,677.36/208,030.80
  6. Step 6: Final answer
    x = 233,314.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.